Finding the Third Proportional to 55,905 and 83,095.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,905 : 83,095.50 = 83,095.50 : x
2. Step 2: Convert to fraction form
   55,905/83,095.50 = 83,095.50/x
3. Step 3: Cross multiply
   55,905x = 83,095.50 × 83,095.50
4. Step 4: Simplify right side
   55,905x = 6,904,862,120.25
5. Step 5: Solve for x
   x = 6,904,862,120.25/55,905
6. Step 6: Final answer
   x = 123,510.64